Geometeric sequence
an=a1(r^(n-1))
r=common ratio
a1=first term
an=nth term
1. a1=0.5
r=0.5
a15=0.5(5^(15-1))
a15=0.5(5^14)
a15=3,051,757,812.5
2. a1=-10000
r=-1/2
a6=-10000(-1/2)^(6-1)
a6=-10000(-1/2)^(5)
a6=-10000(-1/32)
a6=312.5
3.
a1=3/4
r=4
a6=(3/4)(4)^(8-1)
a6=(3/4)(4)^(7)
a6=12288
Answer:
15/28
Step-by-step explanation:
Find the volume of each prism.
62/87,21
The volume V of a prism is V = Bh, where B is the area of a base and hLVWKHKHLJKWRIWKHSULVP
The volume is 108 cm3
.
A) Total = Principal * (1 + rate)^years
Total = 500 * (1.015)^years
b) The equation has to be solved for years.
http://www.1728.org/compint2.htm
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log (800) - log(500)] / log (1.015)
Years = (2.903089987 -2.6989700043) / 0.0064660422492
<span><span><span>Years = 0.2041199827
</span>
/ </span>
</span>
0.0064660422492
<span><span><span><span>Years = </span>31.567993965
</span>
</span>
</span>
This is exactly like normal subtraction, but with a fraction instead of an integer. Take one away from 360 and turn it into a fraction: 359 6/6 - 5/6. Now subtract the two fractions: 6/6 - 5/6 = 1/6. Add that to your number: 359 1/6.